List of Fourier analysis topics
This is a list of Fourier analysis topics.
Fourier analysis
- Multiplier (Fourier analysis)
- Fourier shell correlation
- Pinsky phenomenon
Fourier series
Fourier transforms
Discrete Fourier transforms
Applications of Fourier analysis
- Fourier amplitude sensitivity testing
- Fourier optics
- Quantum mechanics, for
- Wavefunctions
- Uncertainty principle
- Quantum Fourier transform
Algebra and analysis
- Periodic function
- Almost periodic function
- ATS theorem
- Modulus of continuity
- Banach algebra
- Compact group
- Haar measure
- Hardy space
- Sobolev space
- Topological group
Harmonic analysis
- Set of uniqueness
- Pontryagin duality
- Plancherel theorem
- Peter–Weyl theorem
- Fourier integral operator
- Oscillatory integral operator
Harmonic functions
Special functions and generalized functions
Integral transform concepts
Transforms
- Laplace transform
- Discrete Hartley transform
- List of transforms
Integral kernels
Convolution
Analysis of unevenly spaced data
See also
- List of cycles
- list of Fourier-related transforms
- list of harmonic analysis topics
- LTI system theory
- Autocorrelation
- Autocovariance
- Whittaker–Shannon interpolation formula
- Gabor atom
- Marcinkiewicz theorem
- Nyquist–Shannon sampling theorem
- Riesz–Thorin theorem
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